# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 249, page id 845634801:0255
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=255
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

ribusi
15, M
10. 1
42
10al
oresdl
CenEO
A16
ud st
E OM E Z R TK.
Mlatiguli, aequalia sunE CD, DE crura Sccun di erianguli. Oualium aurem itetque angu-
lorum BAC, BCA estpars una, angulus ABC est duorum reCtorum mInuSTaHDuS MC
bus parcibus, ec angulus exrerior anguli ABC duarum estillarum parrium, cul ansulocL
ceriori aquacur ansulus ADC, quoniam lunc aequalesanguli DBC, CDBOb equalica-
rem quoque crurum CD, CB. Exangulis aurem ADC. DAC componusel angulus ex-
cerioc anguli D C A. Secundum icaque criangulum est C DC, Plum aequicrurum ee crura
habens aqualia cruribus primi ABC. ec urrum que ansuou sui sunr ad batin, videli-
cer DCE vel DEC, criplum anguli BAC vel BCA. Dico isitur cubum ex AC minus so-
lido rriplo sub AC et quadraro ex AB, x quari Colido IVL L C GuAdTATO Cx DC (eu AB.
et
vallo CB vel CD delert
batur circuliis, ex agarut
diaMCTCF FC C SCCanS HIL
Centro enim C inTer-
perpendicularirer in C
iplam vero AD in H, ipli
quoque FC ASANTIF P2-
Fallelae BI, DK, SccanteS
AL. perpendicularirer in
een c2. celi ttec eta
aquales, e idcoCH
ipHuS AI dupla. Leaque
Iune quoque aequales AB,
BEI, _E AE AH ipSIUS AB
dupla. AE quales quoque
TUnE CK, KF, _C AECF
dupla ipsuS CR.
Ouadratum aurem ex
CG, id est AB, aequatUE
inuS QuadraTO Cx CH, aquatur ei quodtD LIL, HO, hoc est, ei quod Er SuB BFI
quadraro ex CHL una cum eo quod sEsub FFT, FTC, de convertendo, quadrarum ex AB
HD. Ipsum porro quadrarum ex CHI, aequale eA quadrato Cx AFI minuS quadEATO Cx AC
AquadEATM Ex AFI est quadrup uM Quadrari ex AB. GuadEAEUIM iSITUE ex AC MTBUS
Quadrarorriplo ex AB, aequale el et Guda lub btl, EID. Sed est BFLadHD; urTC ad
CIE, ex est IC 2d CK, SCUE AC ad CE: cum sinchxe illarum duplae. Ouare liCur AC. ad
CE, ira eA BFL adFID, _ COnEQUEMEL IUE AC ad C F, ita quadrarum ex BH, id est ex
E. B, ad id quod srtub BHI, tLB, la Cusal quadrarum ex AC minus quadrato eriplo ex AB,
ltague resolura analogia, cubus ex C minuseriplo solido (ub AC, SE quadFAFO CX AB,
Posico Z. latere quolibet trianculi aequilatert, unde angulus quilibet sit eriens duorum rectorum.
Acubus minus Z. quadraro ter in A, aequatur Z. cubo. Et fic a basiserianguli aequieruri, cujus an
aegualis est (olido Tub CE _ quadratO Cx AB. Ouod erar ostendendum
e
uavru redtorum.
Sit Z L. AIN. IC = 3N, aquatu L.
eulus ad basin est n
Si L 100,008,600. Ud se radibutb  unsula.